The Goldman trace map is shown to be non-injective for any reductive G by constructing explicit nonzero kernel elements for each n using the Amitsur-Levitzki identity on words in a free subgroup of the surface group.
Math.104(1998), 129–144
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Non-injectivity of the trace map for character varieties
The Goldman trace map is shown to be non-injective for any reductive G by constructing explicit nonzero kernel elements for each n using the Amitsur-Levitzki identity on words in a free subgroup of the surface group.